What is the answer to \sqrt[3]{x+2}=2-x ?

The answer to \sqrt[3]{x+2}=2-x is x\approx 0.62120…

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\sqrt[3]{x+2}=2-x

x \approx 0.62120 \dots

Solution steps

Take both sides of the equation to the power of

3 : x + 2 = 8 - 12 x + 6 x^{2} - x^{3}

x + 2 = 8 - 12 x + 6 x^{2} - x^{3}

Solve

x + 2 = 8 - 12 x + 6 x^{2} - x^{3} : x \approx 0.62120 \dots

x \approx 0.62120 \dots

Verify Solutions:

x \approx 0.62120 \dots

True

The solution is

x \approx 0.62120 \dots

y + 5 = 9

3 x + 6 = - 6

4 x - 1 = 2 x

x^{\frac{4}{3}} = - 64

What is the answer to \sqrt[3]{x+2}=2-x ?
The answer to \sqrt[3]{x+2}=2-x is x\approx 0.62120…
Solve for x: \sqrt[3]{x+2}=2-x
The solution is x\approx 0.62120…